M. Kijaczko

activity

20202026

most citedOn density of compactly supported smooth functions in fractional Sobolev spaces

19 citations · 54 across the 11 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.AP2023★ 2 cited

Asymptotics of weighted Gagliardo seminorms

Michał Kijaczko

In this paper we consider fractional Sobolev spaces equipped with weights being powers of the distance to the boundary of the domain. We prove the versions of Bourgain--Brezis--Mir…

math.PR2023

Shot-down stable processes

Krzysztof Bogdan, Kajetan Jastrzȩbski, Moritz Kassmann +2

The shot-down process is a strong Markov process which is annihilated, or shot down, when jumping over or to the complement of a given open subset of a vector space. Due to specifi…

math.AP2023★ 4 cited

Sharp fractional Hardy inequalities with a remainder for $1 < p < 2$

Bartłomiej Dyda, Michał Kijaczko

The main purpose of this article is to obtain (weighted) fractional Hardy inequalities with a remainder and fractional Hardy-Sobolev-Maz'ya inequalities valid for $1 < p < 2$ .

Asymptotics of weighted Gagliardo seminorms

Shot-down stable processes

Sharp fractional Hardy inequalities with a remainder for 1<p<2

Sharp fractional Hardy inequalities with a remainder for $1 < p < 2$